9th Grade Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 9th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Ratio & Rates9th Grade Ratio Worksheet — Level 1 — Answers
Part A: Simplify
1.Simplify the ratio 32 : 4
Answer: 8 : 1
- HCF of 32 and 4 is 4
- Divide both parts by 4
2.Simplify the ratio 9 : 6
Answer: 3 : 2
- HCF of 9 and 6 is 3
- Divide both parts by 3
3.Simplify the ratio 8 : 4
Answer: 2 : 1
- HCF of 8 and 4 is 4
- Divide both parts by 4
4.Simplify the ratio 21 : 9
Answer: 7 : 3
- HCF of 21 and 9 is 3
- Divide both parts by 3
5.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
6.Simplify the ratio 12 : 27
Answer: 4 : 9
- HCF of 12 and 27 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $25 in the ratio 2 : 3.
Answer: $10 and $15
- Total parts: 2 + 3 = 5
- One part: 25 ÷ 5 = 5
- 2 × 5 = 10 and 3 × 5 = 15
8.Divide $84 in the ratio 5 : 2.
Answer: $60 and $24
- Total parts: 5 + 2 = 7
- One part: 84 ÷ 7 = 12
- 5 × 12 = 60 and 2 × 12 = 24
9.Divide $36 in the ratio 5 : 1.
Answer: $30 and $6
- Total parts: 5 + 1 = 6
- One part: 36 ÷ 6 = 6
- 5 × 6 = 30 and 1 × 6 = 6
10.Divide $18 in the ratio 4 : 5.
Answer: $8 and $10
- Total parts: 4 + 5 = 9
- One part: 18 ÷ 9 = 2
- 4 × 2 = 8 and 5 × 2 = 10
11.Divide $48 in the ratio 1 : 3.
Answer: $12 and $36
- Total parts: 1 + 3 = 4
- One part: 48 ÷ 4 = 12
- 1 × 12 = 12 and 3 × 12 = 36
12.Divide $40 in the ratio 5 : 5.
Answer: $20 and $20
- Total parts: 5 + 5 = 10
- One part: 40 ÷ 10 = 4
- 5 × 4 = 20 and 5 × 4 = 20
Marking tips
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